Lipchitz curve selection and its application to Thamrongthanyalak's open problem
Masato Fujita
Published: 2024/11/22
Abstract
We solve an open problem posed in Thamrongthanyalak's paper on the definable Banach fixed point property. A Lipschitz curve selection is a key of our solution. In addition, we show a definable version of Caristi fixed point theorem.